Consider a simple convex polyhedron ∆ in R^3 with 2010 edges.
part 1: How many vertices are there in ∆?
part 2: How many faces are there in ∆?
(Hint: try do part 1 by hands and then use the Euler characteristic formula for part 2)

I am not too sure how to start this (Crying) plz help me!

Mar 11th 2010, 12:46 AM

earboth

Quote:

Originally Posted by kkjs358

Consider a simple convex polyhedron ∆ in R^3 with 2010 edges.
part 1: How many vertices are there in ∆? <<<<< at least 3 edges form one vertex. BUT: Each edge is used twice to form different vertices.
part 2: How many faces are there in ∆?
(Hint: try do part 1 by hands and then use the Euler characteristic formula for part 2)